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Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields

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arxiv hep-lat/0608015 v1 pith:SWXHMNWC submitted 2006-08-22 hep-lat

M. A. Clark , A. D. Kennedy This is my paper · ORCID
classification hep-lat
keywords algorithmcarlohybridmontefieldspseudofermionrationalrecent
verification ladder T0 review T1 audit T2 compute T3 formal
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There has been much recent progress in the understanding and reduction of the computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this problem, where we represent the fermionic determinant using (n) pseudofermion fields, each with an (\nth) root kernel. We implement this within the framework of the Rational Hybrid Monte Carlo (RHMC) algorithm. We compare this algorithm with other recent methods in this area and find it is competitive with them.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD

    hep-lat 2026-03 conditional novelty 9.0 of 10

    Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.

  2. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  3. Finite-temperature phase diagram of the BMN matrix model on the lattice

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    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

  4. Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Lattice simulations of Sp(4) with three antisymmetric Dirac fermions find QCD-like confinement and chiral symmetry breaking, and provide a first continuum-extrapolated meson spectrum.

  5. Highly improved staggered quarks on anisotropic lattices

    hep-lat 2026-06 unverdicted novelty 5.0 of 10

    Tuning study of aHISQ action on anisotropic lattices from 1 to 8, with comparison of fermion anisotropy tuning and an empirical model for pion taste splittings showing qualitatively different behavior versus naive sta...

  6. Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Preliminary lattice spectra of mesons, flavor singlets, and chimera baryons in fully dynamical Sp(4) gauge theory with fermions in two representations are presented.

  7. $f_K/f_{\pi}$ in iso-symmetric QCD and the CKM matrix unitarity

    hep-lat 2025-12 unverdicted novelty 4.0 of 10

    Lattice QCD result for f_K/f_π in isoQCD gives |V_us|/|V_ud| consistent with CKM unitarity once isospin and QED effects are included.

  8. Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%

    hep-lat 2024-07 unverdicted novelty 4.0 of 10

    Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.

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